Chapter 13, Problem 7CR

To determine

To calculate: to calculate the unknown value in the coordinate.

Answer to Problem 7CR

The unknown value in the coordinate is obtained as $-26.5$

Explanation of Solution

Given information: Slope if the line is $\frac{2}{3}$ and the line passes through $(9,-13)$ and $(0,?)$ .

Formula used: slope of a line passing through two point is $\frac{y_2-y_1}{x_2-x_1}$

Calculation:

Let the unknown point be $x$ .

Now we have $(9,-13)$ and $(0,x)$ which passes through the line.

So, now the slope of the line is given by $\frac{0-9}{x-(-13)}=\frac{-9}{x+13}$

Now comparing this with the slope of line we have $\frac{-9}{x+13}=\frac{2}{3}$

Solving the above equation,

  $\begin{array}{l}2x+26=-27\\ 2x=-53\\ x=-26.5\end{array}$

Hence,

The unknown value in the coordinate is obtained as $-26.5$